# Data for modular curve with label 312.32.0-312.a.2.7, downloaded from the LMFDB on 02 June 2024.
{"label": "312.32.0-312.a.2.7", "coarse_level": 312, "coarse_index": 16, "genus": 0, "coarse_label": "312.16.0.a.2", "coarse_class": "312.16.0.a", "coarse_class_num": 1, "coarse_num": 2, "level": 312, "index": 32, "fine_num": 7, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "12.4.1", "generators": [[78, 301, 275, 163], [177, 160, 260, 85], [207, 35, 295, 146], [245, 31, 195, 268]], "canonical_generators": [[0, 1, 37, 105], [0, 5, 179, 27], [0, 5, 283, 209], [0, 307, 289, 207], [0, 311, 41, 207], [0, 311, 161, 207], [1, 0, 12, 1], [1, 12, 0, 1], [13, 12, 300, 301], [168, 221, 91, 311], [168, 299, 13, 311], [285, 143, 91, 38]], "parents": ["24.16.0-6.a.1.5", "156.16.0-6.a.1.3"], "parents_conj": null, "reductions": ["1.1.0.a.1", "2.2.0.a.1", "2.2.0.a.1", "2.2.0.a.1", "2.2.0.a.1", "2.2.0.a.1", "2.2.0.a.1", "3.4.0.a.1", "3.4.0.a.1", "6.8.0.a.1", "6.8.0.a.1", "6.8.0.a.1", "24.16.0-6.a.1.5", "156.16.0-6.a.1.3"], "factorization": [], "orbits": [[2, 3, 1], [3, 2, 1], [3, 6, 1], [4, 12, 1], [6, 6, 1], [6, 18, 1], [8, 48, 1], [12, 24, 1], [12, 72, 1], [13, 168, 1], [24, 96, 1], [24, 288, 1], [26, 504, 1], [39, 336, 1], [39, 1008, 1], [52, 2016, 1], [78, 1008, 1], [78, 3024, 1], [104, 8064, 1], [156, 4032, 1], [156, 12096, 1], [312, 16128, 1], [312, 48384, 1]], "kummer_orbits": [[2, 3, 1], [3, 1, 1], [3, 3, 1], [4, 6, 1], [6, 3, 1], [6, 9, 1], [8, 24, 1], [12, 12, 1], [12, 36, 1], [13, 84, 1], [24, 48, 1], [24, 144, 1], [26, 252, 1], [39, 168, 1], [39, 504, 1], [52, 1008, 1], [78, 504, 1], [78, 1512, 1], [104, 4032, 1], [156, 2016, 1], [156, 6048, 1], [312, 8064, 1], [312, 24192, 1]], "isogeny_orbits": [[2, 3, 1], [3, 1, 1], [3, 3, 1], [4, 6, 1], [6, 3, 1], [6, 9, 1], [8, 12, 1], [12, 6, 1], [12, 18, 1], [13, 14, 1], [24, 12, 1], [24, 36, 1], [26, 42, 1], [39, 14, 1], [39, 42, 1], [52, 84, 1], [78, 42, 1], [78, 126, 1], [104, 168, 1], [156, 84, 1], [156, 252, 1], [312, 168, 1], [312, 504, 1]], "psl2index": 16, "nu2": 0, "nu3": 4, "cusps": 2, "psl2level": 12, "sl2level": 12, "rational_cusps": 2, "cusp_orbits": [[1, 2]], "cusp_widths": [[4, 1], [12, 1]], "psl2label": "12.16.0.a.1", "sl2label": "12.16.0.a.1", "CPlabel": "12B0", "Slabel": null, "SZlabel": null, "RZBlabel": null, "RSZBlabel": null, "Glabel": null, "name": null, "rank": null, "genus_minus_rank": null, "newforms": null, "dims": null, "mults": null, "traces": null, "trace_hash": null, "simple": null, "squarefree": null, "power": null, "conductor": null, "log_conductor": null, "q_gonality": 1, "q_gonality_bounds": [1, 1], "qbar_gonality": 1, "qbar_gonality_bounds": [1, 1], "bad_primes": [2, 3, 13], "num_bad_primes": 3, "level_radical": 78, "level_is_squarefree": false, "cm_discriminants": [], "obstructions": [], "pointless": false, "num_known_degree1_points": null, "lattice_labels": null, "lattice_x": null, "curve_label": null, "canonical_conjugator": [1, 0, 0, 1], "has_obstruction": 0, "num_known_degree1_noncusp_points": null, "num_known_degree1_noncm_points": null, "models": null, "all_degree1_points_known": null, "coarse_parents": ["6.8.0.a.1"]}